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miss Akunina [59]
3 years ago
8

S = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval. *

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

no choice

use calculus to find vav

s'=v=12t+3

v(0)=3

v(2)=27

so vav=(27-3)/2

vav=12

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A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
3 years ago
Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .
Alisiya [41]

Answer:

y = 14x

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 7 as y and 0.5 as x, and solve for k:

y = kx

7 = k(0.5)

14 = k

Plug this into the equation:

y = kx

y = 14x

So, the equation of variation is y = 14x

4 0
2 years ago
Multiply
Paraphin [41]

Answer:

B. 20x^4-39x^3+26x^2-6x

Step-by-step explanation:

(5x^2-6x+2)*(4x^2-3x)

20x^4 -15x^3 -24x^3 + 18 x^2 +8x^2 - 6x

20x^4 -39x^3 + 26x^2  - 6x

5 0
2 years ago
If a =6, what is the value of 2a(3b + 5c)?
leva [86]

Answer:

<h2>36b + 60c</h2>

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c)               <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

7 0
3 years ago
Pliz answer this question
irina1246 [14]
Cent is by the hundred so one percent is 1/100 so .6%=6/1000
which can be reduced to 3/500
7 0
3 years ago
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